Two boxes are similar, the length of the side of the small box is 4cm, the length of the side of the big box is 16cm. The volume of the big box is 320cm3 what is the volume of the small box?

Answer:

A

n^2+3

1. 1^2+3= 4

2. 2^2+3= 7

3. 3^2+3= 12

4. 4^2+3= 19

5. 10^2+3= 103

B

2n^2

1. 2*1^2=2

2. 2*2^2= 8

3. 2*3^2= 18

4. 2*4^2= 32

5. 2*10^2= 200

Answer:

see below

Step-by-step explanation:

n^2+3

n=1:  1^2+3 = 1+3 =4

n=2:  2^2+3 = 4+3 =7

n=3:  3^2+3 = 9+3 =12

n=4:  4^2+3 = 16+3 =19

n=10:  10^2+3 = 100+3 =103

2n^2

n=1:  2*1^2 = 2*1 =2

n=2:  2*2^2 = 2*4 =8

n=3:  2*3^2 = 2*9 =18

n=4:   2*4^2 = 2*16 =32

n=10:   2*10^2 = 2*100 =200

Answer:

31hr

Step-by-step explanation:

Answer:

Step-by-step explanation:

Like your other question, let's break it down systematically

6x + 9y - 9(6x - 3y + 8z)

Use the distributive property

6x + 9y - 9(6x - 3y + 8z)

6x + 9y - 54x - 27y + 72z

Match like terms

6x - 54x = -48x

9y - 27y = -18y

72z - 48x - 18y

Answer:

/25 is the trigonometric

tan=24

Answer:

cos(e) sin(e) is the he correct ratio

Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

[tex] < or \: [/tex]

i am not so sure

Answer:

a) 18

b) 10

c) x^2 - 4x + 5

d) 4x^2 + 2

Step-by-step explanation:

f(x) = 4x - 2

g(x) = x^2 + 1

a) f(5) = 4(5) - 2 = 20 - 2 = 18.

b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.

c) g(x - 2)...

g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.

d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.

Hope this helps!

Answer:

Step-by-step explanation:

(2+10)/(5+1)= 12/6 =2

y + 10 = 2(x + 1)

y + 10 = 2x + 2

y = 2x - 8

Answer:

-71/624

Step-by-step explanation:

Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.

Answer:

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

Step-by-step explanation:

Answer:

x-8

Step-by-step explanation:

You add the -7 and -1 and then put the x in front of your answer.

Answer: x-8

Step-by-step explanation:

x-7-1

-7-1=-8

x-8

Answer:

Option 2) [tex]x^{\frac{1}{8}}y^8[/tex]

Step-by-step explanation:

=> [tex](x^{\frac{1}{4} } y ^{16} )^\frac{1}{2}[/tex]

=> [tex]x^{\frac{1}{4} * \frac{1}{2} } * y ^{16*\frac{1}{2} }[/tex]

=> [tex]x^{\frac{1}{8}}y^8[/tex]

Answer:

I got 41000 cell phones.

Step-by-step explanation:

Step 1: I figured out the amount of each workers from 90

US Sock Production: 18 workers

Thailand Sock Production: 15 workers

US Cell Production: 27 workers

Thailand Cell Production: 30 workers

Step 2: I adjusted the workers amounts to the question's changes

US Sock Production: 18 - 10 = 8 workers

Thailand Sock Productions: 18 + 15 = 33 workers

US Cell Production: 27 + 10 = 37 workers

Thailand Cell Production: 30 - 18 = 12 workers

Step 3: Find the total amount of cell phones produced

4(1000) + 37(1000) = 41000 cell phones

*12/3 = 4 because 3 workers are needed to make 1000 cell phones

Answer:

A. 41

Step-by-step explanation:

19 - (-8) - (-14) =

19+8+14

Remember: Two negatives=One positive ;)

27+14

41

A. 41

Answer:

[tex]\mathrm{A.} \: 41[/tex]

Step-by-step explanation:

[tex]19 - (-8) - (-14)[/tex]

[tex]\mathrm{Apply \: rule:} \: -(-a)=a[/tex]

[tex]19+8+14[/tex]

[tex]\mathrm{Add \: the \: numbers.}[/tex]

[tex]=41[/tex]

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the SUBTRACTION.

so here we are going to use the BODMAS Rule,

Answer is -11

Answer:

Step-by-step explanation:

Can do skmeone help me

Answer:

x= 9/5

Step-by-step explanation:

The value of 'x' by using given steps will be 1.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3x + 18 = 7x

Now,

Solve the expression by using the given steps as;

The expression is,

⇒ - 3x + 18 = 7x

Add 3x to both side,

⇒ - 3x + 18 + 3x = 7x + 3x

⇒ 10 = 10x

Divide both sides by 10,

⇒ 10/10 = 10x/10

⇒ 1 = x

⇒ x = 1

Thus, The value of x by using given steps will be 1.

Learn more about the mathematical expression visit:

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Answer:

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Step-by-step explanation:

Un monomio es una entidad algebraica consistente en un componente, el polinomio dado puede ser transformado mediante el uso de la siguientes propiedades trigonométricas:

[tex]\cos (\alpha + \beta) = \cos \alpha \cdot \cos \beta - \sin \alpha \cdot \sin \beta[/tex]

Es decir:

[tex]\cos 7x + \sin 5x \cdot \sin 2x[/tex] Dado

[tex]\cos (5x+2x) + \sin 5x\cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x - \sin 5x \cdot \sin 2x + \sin 5x \cdot \sin 2x[/tex]

[tex]\cos 5x \cdot \cos 2x[/tex]

El monomio equivalente es [tex]\cos 5x \cdot \cos 2x[/tex].

Answer:

The missing frequencies are x = 8 and y = 43.

Step-by-step explanation:

Median Value =70

Then the median Class =60-80

Let the missing frequencies be x and y.

Given: Total Frequncy = 200 , Median = 46

[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]

From the table

[tex]\sum f_i =149+x+y[/tex]  

Here, n = 200

n/2 = 100

Lower Class Boundary of the median class, l=60

Frequency of the median class(f) =66

Cumulative Frequency before the median class, f=42+x

Class Width, h=10

[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]

[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]

200=149+x+y

200=149+8+y

y=200-(149+8)

y=43

Hence, the missing frequencies are x = 8 and y = 43.

Answer:

61 / 90, 62 /90, 63 /90, 64/90, 65/90

Explanation:

2/3 = 2 x 5 / 3  x 5 

       = 10 / 15 

4/5 = 4 x 3 / 5 x 3 

       12 / 15 

we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6 

10 / 15  X 6 /6 

= 60 / 90 

12/ 15 X 6 /6 

= 72 / 90 

the rational numbers = 61 / 90  62 /90  63 /90  64/90  65/90  

Answer:

31/45, 32/45, 11/15, 34/35, 7/9.

Step-by-step explanation:

The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:

10/15 and  12/15 so one rational number between these is 11/15.

Now 11/15 = 33/45 and 4/5 = 36/45

So 2 rationals between these are 34/45 and 35/45 = 7/9

2/3 = 30 /45 and 11/15 = 33/45

so  2 rationals between these are 31/45 and 32/45.

The probability that the bus is filled in less than 3 hours from the time of the fare reduction is 0.8488

Let the time for calls for tickets is denoted by x.

The time between calls for tickets is exponentially distributed, with a mean of 30 minutes.

[tex]X \sim Exp(\lambda = \frac{1}{30})[/tex]

A small bus can carry four passengers. We have to find the probability that  the bus is filled in less than 3 hours from the time of the fare reduction.

That means there are more than 4 passengers in less than 180 minutes (3 hours).

Let N be the number of seats filled in 3 hours.

Then,

[tex]N \sim Poisson(\lambda t)[/tex]

Or,

[tex]N \sim Poisson(\frac{1}{30} \times180)[/tex]

[tex]N \sim Poisson(6)[/tex]

Then the required probability is:

[tex]P(N\geq 4) = 1 - P(N < 4)[/tex]      --------(1)

PDF for Poisson random variable with parameter λ is give by:

[tex]P(X =x) = \dfrac{{e^{-{\lambda}} {\lambda}^x}}{x!}[/tex]

Then for the variable N

P(N<4) = P(N=0)+P(N=1)+P(N=2)+P(N=3)

[tex]P(N < 4) = \dfrac{{e^{-{6}} {6}^3}}{3!} +\dfrac{{e^{-{6}} {6}^2}}{2!} +\dfrac{{e^{-{6}}{6}^1}}{1!}+\dfrac{{e^{-{6}} {6}^0}}{0!}[/tex]

On solving the above:

P(N<4) =0.0892+ 0.0446+0.0149+0.0025

P(N<4)= 0.1512

Substitute this value in (1)

P(N≥4) =1-0.1512

P(N≥4) =1-0.1512

P(N≥4) =0.08488

Hence, the required probability is 0.8488.

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Answer:

Scalene triangle

Step-by-step explanation:

Let's first cancel out the obvious.

This is not a equilateral triangle because the angles are not equal.

Now if you draw out the triangle, you can see that the triangle is a little weird. Not at all a equilateral triangle.

It's also not a iscosles because no two angles are the same.

Thus we end up with scalene triangle.

Hope this helps!

Answer:

y=-1/4(x+3)²+3

Step-by-step explanation:

Answer and explanation:

We khow that the standard form of a parabola is written this way:

ax^2 + bx +c

It can be factored if it has roots

◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇

In the graph we notice that the parabola has two x-intercepts wich means two roots

Let p and q be the roots

The equation can be written as:

a (x-p) (x-q)

We can khow the value of p and q from the graph

The parabola crosses the x-axis in -6,25 and 0.5

So the equation is:

Y=a(x-0.5) (x+6.25)

a is missing but we can find it

□□□□□□□□□□□□□□□□□□

Replace x and y bu the coordinates of a point in the parabola

Let's take (-3;3)

3= a (3-0.5) (3+ 6.5)

3 =a* 2.5* 9.5

a= 3/(2.5*9.5) = 0.12

So the equation is :

y= 0.12(x-0.5)(x+6.5)

y= (0.12x-0.6)(x+6.5)

y= 0,12x^2 + 0.78x -0.6x- 3.9

y= 0.12x^2 +0.18x-3.9

Divide by 3 to simplify :

y= 0.4x^2+0.6x-1.3

Multiply by 10 to get rid of the decimal numbers

y= 4x^2 + 6x -13

Answer:

No it is not because it is only once when you get the fee

Step-by-step explanation:

So if you look at it, first of all there is not multiplication going on, so there are not ratios, second when there is only once that the fee added no matter to the amount of tickets, it means no propotion

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

Answer:

You can expect at least 9 of her postcards to arrive within a week

To find that, we multiply the number of postcards by the probability

15 x 0.62 = 9.3

Hope this helps

Good Luck

Answer:

Both types of lines are built on the same plane although they meet different objectives for which they are built.

Step-by-step explanation:

The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.

Answer: The first term is 6; the common difference is 4.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

(x,y,z)=(2,-3,0)+t(1,0,-1)

(x,y,z)=(2,-3,0)+(t,0,-t)

(x,y,z)=(2+t,-3,-t)

x=2+t

y=-3

z=-t

If you don't understand, you can ask me :)